A wheel rotating about a fixed axis has an angular position given by = 3.0 - 2.0t³, where is measured in radians and t in seconds.

i) What is the angular speed of the wheel at t=0.3s?

ii) Find the tangential speed of a point 0.5m away from the axis at t=0.3s.

iii) What is the angular acceleration of the wheel at t=0.3s?

iv) Find the tangential acceleration of a point 0.5m away from the axis at t=0.3s.

v) Find the total acceleration of a point 0.5m away from the axis at t=0.3s.